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학술대회/행사

초록검색

제출번호(No.) 0185
분류(Section) Special Session
분과(Session) (SS-15) Low-Dimensional Topology (SS-15)
발표시간(Time) 26th-D-10:10 -- 10:30
영문제목
(Title(Eng.))
Instantons, Khovanov homology, and immersed cobordisms
저자(Author(s))
Hayato Imori1, Taketo Sano2, Kouki Sato3, Masaki Taniguchi4
KAIST1, RIKEN iTHEMS2, Meijo University3, Kyoto University4
초록본문(Abstract) Khovanov homology theory and instanton Floer theory have provided powerful tools to study low-dimensional objects. Kronheimer and Mrowka constructed a spectral sequence linking Khovanov homology and instanton Floer homology to show that Khovanov homology detects the unknot. Furthermore, Baldwin, Hedden, and Lobb showed that this spectral sequence is functorial for embedded surface cobordisms. In this talk, we show that the spectral sequence constructed by Kronheimer and Mrowka is also functorial for immersed surface cobordisms, including its topological applications. This talk is based on a joint work with Taketo Sano, Kouki Sato, and Masaki Taniguchi.
분류기호
(MSC number(s))
57K18
키워드(Keyword(s)) Khovanov homology, singular instanton homology, Khovanov-Floer theory, immersed surface
강연 형태
(Language of Session (Talk))
English